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40147380 = 223357131943
BaseRepresentation
bin1001100100100…
…1100110110100
32210112200212000
42121021212310
540234204010
63552255300
7665150520
oct231114664
983480760
1040147380
1120731359
1211541530
138418960
145490d80
1537d07c0
hex26499b4

40147380 has 384 divisors, whose sum is σ = 165580800. Its totient is φ = 7838208.

The previous prime is 40147379. The next prime is 40147381. The reversal of 40147380 is 8374104.

It is an interprime number because it is at equal distance from previous prime (40147379) and next prime (40147381).

It is a super-2 number, since 2×401473802 = 3223624241728800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40147381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933639 + ... + 933681.

It is an arithmetic number, because the mean of its divisors is an integer number (431200).

Almost surely, 240147380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40147380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82790400).

40147380 is an abundant number, since it is smaller than the sum of its proper divisors (125433420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40147380 is a wasteful number, since it uses less digits than its factorization.

40147380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40147380 is about 6336.1960196951. The cubic root of 40147380 is about 342.4147016171.

The spelling of 40147380 in words is "forty million, one hundred forty-seven thousand, three hundred eighty".